Elementary geometry |
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Seite xxvi
... inscribed in the polygon , or circumscribed about it PROBLEM S. To construct a regular polygon of four , eight , six- teen sides , and inscribe them in , or describe them about a given circle ... PROBLEM 9 . To construct regular ...
... inscribed in the polygon , or circumscribed about it PROBLEM S. To construct a regular polygon of four , eight , six- teen sides , and inscribe them in , or describe them about a given circle ... PROBLEM 9 . To construct regular ...
Seite xxx
... inscribe a regular decagon in a given circle TWO COROLLARIES · 174 • 175 175 177 PROBLEM 8. To inscribe a regular quindecagon in a given circle . 177 ONE COROLLARY MISCELLANEOUS THEOREMS AND PROBLEMS · 178 · . 179 ELEMENTARY GEOMETRY ...
... inscribe a regular decagon in a given circle TWO COROLLARIES · 174 • 175 175 177 PROBLEM 8. To inscribe a regular quindecagon in a given circle . 177 ONE COROLLARY MISCELLANEOUS THEOREMS AND PROBLEMS · 178 · . 179 ELEMENTARY GEOMETRY ...
Seite 94
... inscribed in a circle , when its angular points are on the circumference of the circle . COR . 4 . The opposite angles of every quadrilateral figure inscribed in a circle are together equal to two right angles . For the segments ABC ...
... inscribed in a circle , when its angular points are on the circumference of the circle . COR . 4 . The opposite angles of every quadrilateral figure inscribed in a circle are together equal to two right angles . For the segments ABC ...
Seite 95
... inscribed in a circle are equal , prove that the other two are parallel . 4. AB , CD are chords of a circle which cut at a con- stant angle . Prove that the sum of the arcs AC , BD remains constant , whatever may be the position of the ...
... inscribed in a circle are equal , prove that the other two are parallel . 4. AB , CD are chords of a circle which cut at a con- stant angle . Prove that the sum of the arcs AC , BD remains constant , whatever may be the position of the ...
Seite 111
... inscribed in the circle , and if at their extremities , tangents are drawn , a regular polygon will be circumscribed to the circle . Let OA , OB , OC , OD ... be radii making equal angles consecu- tively to one another . ( 1 ) Join AB ...
... inscribed in the circle , and if at their extremities , tangents are drawn , a regular polygon will be circumscribed to the circle . Let OA , OB , OC , OD ... be radii making equal angles consecu- tively to one another . ( 1 ) Join AB ...
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Häufige Begriffe und Wortgruppen
AB² ABCD ALGEBRA altitude angle ABC angle AOB ARITHMETIC bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre chord circumference cloth coincide common measure corresponding angles Crown 8vo decagon describe a circle diagonals diameter divided ELEMENTARY equal angles equiangular equivalent Euclid exterior angles Fcap Find the locus four right angles Geometry given angle given circle given line given point given ratio given straight line greater Hence hypothenuse inscribed intersect isosceles triangle less Let ABC magnitudes Mathematical meet middle points opposite sides parallel parallelogram perpendicular PROBLEM Proof proportional prove quadrilateral radius rectangle contained regular polygon respectively equal rhombus right angles right-angled triangle Schools Second Edition segments shew shewn similar similar triangles square subtend tangent Theorem 15 three sides touch TREATISE triangle ABC unequal vertical angle
Beliebte Passagen
Seite 11 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Seite 178 - Thucydides. — THE SICILIAN EXPEDITION. Being Books VI. and VII. of Thucydides, with Notes. A New Edition, revised and enlarged, with a Map. By the Rev. PERCIVAL FROST, MA. late Fellow of St. John's College, Cambridge. Fcap. 8vo.
Seite 182 - NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge. AN ELEMENTARY TREATISE ON TRILINEAR ' CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors.
Seite 11 - WILSON— THE BIBLE STUDENT'S GUIDE to the more Correct Understanding of the English Translation of the Old Testament, by reference to the original Hebrew. By WILLIAM WILSON, DD, Canon of Winchester, late Fellow of Queen's College, Oxford. Second Edition, carefully revised. 4to. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.
Seite 175 - ARISTOTLE.— AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes, and Appendices. By EM COPE, Senior Fellow and Tutor of Trinity College, Cambridge. 8vo.
Seite 175 - ARISTOTLE ON FALLACIES ; OR, THE SOPHISTICI ELENCHI. With a Translation and Notes by EDWARD POSTE, MA, Fellow of Oriel College, Oxford. 8vo.
Seite 182 - CHRISTIE— A COLLECTION OF ELEMENTARY TESTQUESTIONS IN PURE AND MIXED MATHEMATICS; with Answers and Appendices on Synthetic Division, and on the Solution of Numerical Equations by Homer's Method. By JAMES R. CHRISTIE, FRS, Royal Military Academy, Woolwich. Crown 8vo. 8s. 6d. CLIFFORD— THE ELEMENTS OF DYNAMIC.
Seite 179 - HELLENICA; OR, A HISTORY OF GREECE IN GREEK, as related by Diodorus and Thucydides ; being a First Greek Reading Book, with explanatory Notes, Critical and Historical.
Seite 4 - ... obtaining all the information which he will require on this branch of Mathematics. Each chapter is followed by a set of Examples : those which are entitled Miscellaneous Examples, together with a few in some of the other sets, may be advantageously reserved by the student for exercist after he has made some progress in the subject.
Seite 179 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.